Sachin purchases a watch from a dealer at some price and sells it at 20% profit. The next day he purchases the same watch and marks up the price by 75% and offers a discount of 30%. What is the change in the percentage in the profit that Sachin receives on day 2?

Let the cost price (CP) of the watch be ₹100.
Day 1:

Profit percentage = 20%

Profit on Day 1 = 20% of 100 = ₹20

Day 2:

He marks up the price by 75%, so the Marked Price (MP) = 100+75=₹175.

He offers a discount of 30% on MP.

Discount=30% of 175=
100
30
​
×175=52.5
Selling Price on Day 2 (SP
2
​
) = MP−Discount=175−52.5=₹122.5

Profit percentage on Day 2 = SP
2
​
−CP=122.5−100=22.5%

Change in profit percentage:

Change=Profit% on Day 2−Profit% on Day 1
Change=22.5%−20%=2.5%
Correction check on wording: The question asks for "the change in the percentage in the profit that Sachin receives on day 2". Let's re-read options: 20%, 22.50%, 17%, 12.50%. Notice 22.50% is an option, which is exactly the profit percentage on day 2 itself. Thus, it is asking for the profit percentage on day 2.

Therefore, the profit percentage on day 2 is 22.50%.